Geometry Worksheets | Polygons Worksheets - Free Printable

Problem Description:

The task is to identify the type of each regular polygon shown in the image. A regular polygon is a polygon where all sides and all angles are equal. The types of polygons are named based on the number of sides they have.

Solution:

#### Step 1: Understand the properties of regular polygons
- A triangle has 3 sides.
- A quadrilateral has 4 sides.
- A pentagon has 5 sides.
- A hexagon has 6 sides.
- A heptagon has 7 sides.
- An octagon has 8 sides.
- And so on...

#### Step 2: Analyze each shape in the image
We will count the number of sides for each polygon and identify its type.

1. Shape 1: This polygon has 8 sides.
Type: Octagon

2. Shape 2: This polygon has 7 sides.
Type: Heptagon

3. Shape 3: This polygon has 8 sides.
Type: Octagon

4. Shape 4: This polygon has 8 sides.
Type: Octagon

5. Shape 5: This polygon has 5 sides.
Type: Pentagon

6. Shape 6: This polygon has 5 sides.
Type: Pentagon

7. Shape 7: This polygon has 7 sides.
Type: Heptagon

8. Shape 8: This polygon has 8 sides.
Type: Octagon

9. Shape 9: This polygon has 8 sides.
Type: Octagon

10. Shape 10: This polygon has 8 sides.
Type: Octagon

11. Shape 11: This polygon has 8 sides.
Type: Octagon

12. Shape 12: This polygon has 8 sides.
Type: Octagon

#### Step 3: Fill in the answers
Based on the analysis, the types of the polygons are as follows:

1. Octagon
2. Heptagon
3. Octagon
4. Octagon
5. Pentagon
6. Pentagon
7. Heptagon
8. Octagon
9. Octagon
10. Octagon
11. Octagon
12. Octagon

Final Answer:

\[
\boxed{
\begin{array}{ccc}
\text{1) Octagon} & \text{2) Heptagon} & \text{3) Octagon} \\
\text{4) Octagon} & \text{5) Pentagon} & \text{6) Pentagon} \\
\text{7) Heptagon} & \text{8) Octagon} & \text{9) Octagon} \\
\text{10) Octagon} & \text{11) Octagon} & \text{12) Octagon} \\
\end{array}
}
\]